Results 91 to 100 of about 78,766 (164)
On a class of solvable higher-order difference equations
Filomat, 2017 Closed form formulas for well-defined solutions of the next difference equation xn = xn-2xn-k-2/xn-k(an + bnxn-2xn-k-2), n ? N0, where k ? N, (an)n?N0, (bn)n?N0, and initial values x-i, i = 1,k+2 are real numbers, are given. Long-term behavior of well-defined solutions of the equation when (an)n?N0 and (bn)n?N0 are constant sequences is ...
Stević, Stevo +3 more
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EntropyLatent thermal energy storage (LTES) devices can efficiently store renewable energy in thermal form and guarantee a stable-temperature thermal energy supply.
Shen Tian +4 more
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Fractal and FractionalIn this article, we develop a compact finite difference scheme for a variable-order-time fractional-sub-diffusion equation of a fourth-order derivative term via order reduction.
Xin Zhang, Yu Bo, Yuanfeng Jin
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On a solvable nonlinear difference equation of higher order
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: In this paper we consider the following higher-order nonlinear difference equation \[ x_{n}=\alpha x_{n-k}+\frac{\delta x_{n-k}x_{n-\left( k+l\right)}}{\beta x_{n-\left( k+l\right)}+\gamma x_{n-l}},\ n\in \mathbb{N}_{0}, \] where \(k\) and \(l\) are fixed natural numbers, and the parameters \(\alpha \), \( \beta \), \(\gamma \), \(\delta ...
Durhasan Turgut TOLLU +2 more
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New class of solvable systems of difference equations
Applied Mathematics Letters, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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First-order product-type systems of difference equations solvable in closed form
Electronic Journal of Differential Equations, 2015 We show that the first-order system of difference equations $$ z_{n+1}=\alpha z_n^aw_n^b,\quad w_{n+1}=\beta z_n^cw_n^d,\quad n\in\mathbb{N}_0, $$ where $a,b,c,d\in\mathbb{Z}$, $\alpha,\beta \in\mathbb{C}\setminus\{0\}$, $z_0, w_0\in\mathbb{C ...
Stevo Stevic
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A new class of solvable nonlinear difference equation systems
, 2021 The paper deals with the following system of nonlinear difference equations \begin{equation*} x_{n+1}=ax_{n}^{2}y_{n}+bx_{n}y_{n}^{2},\ y_{n+1}=cx_{n}^{2}y_{n}+dx_{n}y_{n}^{2},\ n\in \mathbb{N}_{0}, \end{equation*} where the initial values $x_{0},y_{0}$ and the parameters $a$, $b$, $c$, $d$ are arbitrary real numbers, which is a new class of solvable ...
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Solvability of nonlinear difference equations of fourth order
Electronic Journal of Differential Equations, 2014 Summary: We show the existence of solutions to the nonlinear difference equation \[ x_n=\frac{x_{n-3}x_{n-4}}{x_{n-1}(a_n+b_nx_{n-2}x_{n-3}x_{n-4})}, \quad n\in\mathbb{N}_0, \] where the sequences \((a_n)_{n\in\mathbb{N}_0}\) and \((b_n)_{n\in\mathbb{N}_0}\), and initial the values \(x_{-j}\), \(j=\overline{1,4}\), are real numbers.
Stevo Stevic +3 more
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Multiparticle quasiexactly solvable difference equations
Multiparticle quasiexactly solvable difference equationsSeveral explicit examples of multiparticle quasiexactly solvable “discrete” quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable multiparticle Hamiltonians, the Ruijsenaars-Schneider-van Diejen systems. These are difference analogs of the quasiexactly solvable multiparticle systems, the quantum Inozemtsev systems ...
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Transient flow and heat transfer of CuO-Al<sub>2</sub>O<sub>3</sub>/H<sub>2</sub>O hybrid nanofluid flow over a radially stretching surface with dissipation and ohmic heating. [PDF]
Discov NanoRagavi M, Poornima T, Sreenivasulu P.
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